Finding the Fourth Proportional to 2,582.15, 3,869.42 and 1,192.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.15 : 3,869.42 = 1,192.19 : x
2. Step 2: Convert to fraction form
   2,582.15/3,869.42 = 1,192.19/x
3. Step 3: Cross multiply
   2,582.15x = 3,869.42 × 1,192.19
4. Step 4: Simplify right side
   2,582.15x = 4,613,058.52
5. Step 5: Solve for x
   x = 4,613,058.52/2,582.15
6. Step 6: Final answer
   x = 1,786.52